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Finding the Fourth Proportional to 54,531.52, 81,841.02 and 28,243.78

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Solution

The fourth proportional to 54,531.52, 81,841.02 and 28,243.78 is: 42,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,531.52 : 81,841.02 = 28,243.78 : x
  2. Step 2: Convert to fraction form
    54,531.52/81,841.02 = 28,243.78/x
  3. Step 3: Cross multiply
    54,531.52x = 81,841.02 × 28,243.78
  4. Step 4: Simplify right side
    54,531.52x = 2,311,499,213.43
  5. Step 5: Solve for x
    x = 2,311,499,213.43/54,531.52
  6. Step 6: Final answer
    x = 42,388.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.